Model of One-Step Equations with Algebra Tiles

Which expression is best represented by the algebra tiles below?

• 10 + 3

• 10+(-3)

• 10(-3)

• -10-3

Answer explanation

The algebra tiles represent a positive 10 and a negative 3, which corresponds to the expression 10 + (-3). This shows a combination of a positive and a negative value, confirming the correct choice.

Look at the model. Which of the following algebraic expressions could it represent?

• 3x + 4 + 2x + 1

• 7x + 3x

• 3x + 2x

• 4 + 1

Look at the model. Which of the following algebraic expressions could it represent?

• 5x - 1 + 2x + 3

• 5x + 5 +2x + 3

• 5x + 1 + 2 + 3

• 5x - 1 + 2x + 3x

Find the total amount of tiles.

• 7x + 6

• -10x - 5

• 10x + 1

• 10x + 5

Pick the equation modeled.

• 3x + 1 = x - 5

• -3x + 1 = x - 5

• 3x + 1 = x - 3

• 3x - 1 = x - 5

What expression matches the model above?

• -x+2

• 3(-x+2)

• 3x+4

• 3(3x + 2)

Jude and Aria are having a marble party! Jude starts with x marbles, and Aria gifts him 2 more, bringing his total to a magical 10 marbles. Which set of algebra tiles best captures this marble mystery?

• [Diagram a]

• [Diagram b]

• [Diagram c]

• [Diagram d]

Charlotte is on a quest to buy her favorite book, but she's facing a little math puzzle! She has $8 less than the amount she needs, and she's short by $2. Can you help her figure out which model represents the equation for the amount she needs, $ d - 8 = -2 ?

• Model A

• Model B

• Model C

• Model D

Elijah and Abigail are having a friendly math duel! Elijah claims that the equation 3x + 6 = 2x + 6 perfectly represents the model they are working on. Is Elijah correct in his mathematical assertion? Why or why not? Use your best academic vocabulary to justify your response and help Abigail understand the reasoning.